Distinguishing Surface Area from Volume

This video tutorial for sixth-grade students covers the concepts of surface area and volume. It begins with matching quantities to appropriate units of measurement, such as square centimeters for surface area and cubic units for volume. The tutorial then demonstrates how to calculate the volume and surface area of figures built from snap cubes. It explores whether doubling the number of cubes affects both volume and surface area. The lesson also includes drawing a pentagon and calculating its area, as well as finding the surface area of a rectangular prism using a net. The video emphasizes understanding the differences between one-dimensional, two-dimensional, and three-dimensional measurements.

What unit is most appropriate for measuring the surface area of a tissue box?

• Cubic meters

• Square centimeters

• Cubic centimeters

• Square meters

Which unit would best represent the volume of a large fish tank?

• Cubic inches

• Liters

• Cubic feet

• Square feet

Tags

CCSS.3.MD.A.2

For measuring a parking lot's area, which unit is most suitable?

• Square meters

• Square centimeters

• Square feet

• Square yards

What unit is appropriate for the length of a soccer field?

• Kilometers

• Yards

• Centimeters

• Meters

Tags

CCSS.4.MD.A.1

How many cubic units is the volume of the snap cube figure?

• 16

• 8

• 4

• 18

Tags

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

What is the surface area of the snap cube figure in square units?

• 32

• 16

• 18

• 34

Tags

CCSS.6.G.A.4

If the number of cubes is doubled, does the surface area also double?

• Not enough information

• Depends on the shape

• False

• True

Tags

CCSS.6.G.A.4

Which two figures prove that the same volume can have different surface areas?

• Figures B and C

• Figures A and B

• Figures C and D

• Figures A and D

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

What is the area of the pentagon drawn?

• 48 square units

• 32 square units

• 16 square units

• 64 square units

Tags

CCSS.6.G.A.1

What is the surface area of the rectangular prism?

• 200 square centimeters

• 100 square centimeters

• 120 square centimeters

• 160 square centimeters

Tags

CCSS.7.G.B.6